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Theorems · Definition · category theory

CategoryTheory.EnrichedNatTrans.out

{V : Type v} →
  [inst : CategoryTheory.Category.{w, v} V] →
    [inst_1 : CategoryTheory.MonoidalCategory V] →
      {C : Type u₁} →
        [inst_2 : CategoryTheory.EnrichedCategory V C] →
          {D : Type u₂} →
            [inst_3 : CategoryTheory.EnrichedCategory V D] →
              {F G : CategoryTheory.EnrichedFunctor V C D} → CategoryTheory.EnrichedNatTrans F G → (F.forget ⟶ G.forget)

The underlying natural transformation of an enriched transformation.

Defined in
Mathlib.CategoryTheory.Enriched.Basic
Cited by
16 results in Mathlib
Foundations
Depth 51 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.EnrichedCategoryCategoryTheory.EnrichedCategory

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.EnrichedCat.whiskerRight · cited by 3EnrichedCat.whiskerRightCategoryTheory.EnrichedFunctor.hom_ext · cited by 3EnrichedFunctor.hom_extCategoryTheory.EnrichedCat.whiskerLeft · cited by 2EnrichedCat.whiskerLeftCategoryTheory.EnrichedCat.whiskerRight_out_app · cited by 2EnrichedCat.whiskerRight_…CategoryTheory.EnrichedCat.whiskerLeft_out_app · cited by 1EnrichedCat.whiskerLeft_o…CategoryTheory.EnrichedFunctor.isoMk_hom_out · cited by 0EnrichedFunctor.isoMk_hom…CategoryTheory.EnrichedFunctor.isoMk_inv_out · cited by 0EnrichedFunctor.isoMk_inv…CategoryTheory.EnrichedCat.associator_hom_out_app · cited by 0EnrichedCat.associator_ho…CategoryTheory.EnrichedCat.associator_inv_out_app · cited by 0EnrichedCat.associator_in…CategoryTheory.EnrichedCat.comp_whiskerRight · cited by 0EnrichedCat.comp_whiskerR…CategoryTheory.EnrichedCat.leftUnitor_hom_out_app · cited by 0EnrichedCat.leftUnitor_ho…CategoryTheory.EnrichedCat.leftUnitor_inv_out_app · cited by 0EnrichedCat.leftUnitor_in…CategoryTheory.EnrichedCat.rightUnitor_hom_out_app · cited by 0EnrichedCat.rightUnitor_h…CategoryTheory.EnrichedCat.rightUnitor_inv_out_app · cited by 0EnrichedCat.rightUnitor_i…CategoryTheory.EnrichedCat.whisker_exchange · cited by 0EnrichedCat.whisker_excha…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.MonoidalCategory · cited by 3095CategoryTheory.MonoidalCa…CategoryTheory.EnrichedCategory · cited by 99CategoryTheory.EnrichedCa…CategoryTheory.ForgetEnrichment · cited by 50CategoryTheory.ForgetEnri…CategoryTheory.EnrichedFunctor · cited by 49CategoryTheory.EnrichedFu…CategoryTheory.EnrichedFunctor.forget · cited by 24EnrichedFunctor.forgetCategoryTheory.EnrichedNatTrans · cited by 4CategoryTheory.EnrichedNa…EnrichedNatTrans.outCITED BYCITES

Cites9

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Cited by18

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